53263 has 6 divisors (see below), whose sum is σ = 62016. Its totient is φ = 45612.

The previous prime is 53239. The next prime is 53267. The reversal of 53263 is 36235.

53263 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 53263 - 2⁵ = 53231 is a prime.

It is a d-powerful number, because it can be written as 5 + 3² + 2⁵ + 6⁶ + 3⁸ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (10336).

2⁵³²⁶³ is an apocalyptic number.

53263 is a deficient number, since it is larger than the sum of its proper divisors (8753).

53263 is a wasteful number, since it uses less digits than its factorization.

53263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1094 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 53263 is about 230.7877813057. The cubic root of 53263 is about 37.6248873261.

Adding to 53263 its reverse (36235), we get a palindrome (89498).

It can be divided in two parts, 5326 and 3, that added together give a square (5329 = 73²).

The spelling of 53263 in words is "fifty-three thousand, two hundred sixty-three".